Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/818,604/725,369/472
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 40,604,369
Greatest Common Factor of Numerators i.e. GCF of 40,604,369 is 1 .
LCM of Denominators means LCM of 818,725,472 as per the given fractions.
LCM of 818,725,472 is 139959800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,604,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 40,604,369 . The biggest common factor number is the GCF number.
So the greatest common factor 40,604,369 is 1.
Lets's calculate LCM of 818,725,472
2 | 818, 725, 472 |
409, 725, 236 |
∴ So the LCM of the given numbers is 2 x 409 x 725 x 236 = 139959800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139959800
Therefore, the GCF of Fractions 40/818,604/725,369/472 is 1/139959800
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 818,725,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,725,472) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(818,725,472) x common factors =1 x 2 = 2
LCM(818,725,472) = ( 818 × 725 × 472 ) / 2
LCM(818,725,472) = 279919600 / 2
LCM(818,725,472) = 139959800
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 40/818, 604/725, 369/472?
Answer: GCF of Numerators as per given numbers 40/818, 604/725, 369/472 is
GCF of Numerators i.e. for 40,604,369 is 1
LCM of denominators i.e. for 818,725,472 is 139959800.
Thus, GCF of Fractions is 1/139959800.Finally, GCF of Fractions for 40/818, 604/725, 369/472 is 1/139959800.